A diagrammatic approach to variational quantum ansatz construction Article Swipe
Yaroslav Herasymenko
,
Thomas E. O’Brien
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.22331/q-2021-12-02-596
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.22331/q-2021-12-02-596
Variational quantum eigensolvers (VQEs) are a promising class of quantum algorithms for preparing approximate ground states in near-term quantum devices. Minimizing the error in such an approximation requires designing ansatzes using physical considerations that target the studied system. One such consideration is size-extensivity, meaning that the ground state quantum correlations are to be compactly represented in the ansatz. On digital quantum computers, however, the size-extensive ansatzes usually require expansion via Trotter-Suzuki methods. These introduce additional costs and errors to the approximation. In this work, we present a diagrammatic scheme for the digital VQE ansatzes, which is size-extensive but does not rely on Trotterization. We start by designing a family of digital ansatzes that explore the entire Hilbert space with the minimum number of free parameters. We then demonstrate how one may compress an arbitrary digital ansatz, by enforcing symmetry constraints of the target system, or by using them as parent ansatzes for a hierarchy of increasingly long but increasingly accurate sub-ansatzes. We apply a perturbative analysis and develop a diagrammatic formalism that ensures the size-extensivity of generated hierarchies. We test our methods on a short spin chain, finding good convergence to the ground state in the paramagnetic and the ferromagnetic phase of the transverse-field Ising model.
Related Topics
Concepts
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- https://doi.org/10.22331/q-2021-12-02-596
- https://quantum-journal.org/papers/q-2021-12-02-596/pdf/
- OA Status
- gold
- Cited By
- 6
- References
- 27
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W2960357851
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W2960357851Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.22331/q-2021-12-02-596Digital Object Identifier
- Title
-
A diagrammatic approach to variational quantum ansatz constructionWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2021Year of publication
- Publication date
-
2021-12-02Full publication date if available
- Authors
-
Yaroslav Herasymenko, Thomas E. O’BrienList of authors in order
- Landing page
-
https://doi.org/10.22331/q-2021-12-02-596Publisher landing page
- PDF URL
-
https://quantum-journal.org/papers/q-2021-12-02-596/pdf/Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
-
https://quantum-journal.org/papers/q-2021-12-02-596/pdf/Direct OA link when available
- Concepts
-
Ansatz, Hilbert space, Quantum, Ising model, Computer science, Statistical physics, Quantum computer, Ground state, Quantum simulator, Physics, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
6Total citation count in OpenAlex
- Citations by year (recent)
-
2021: 3, 2020: 2, 2019: 1Per-year citation counts (last 5 years)
- References (count)
-
27Number of works referenced by this work
- Related works (count)
-
20Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W2960357851 |
|---|---|
| doi | https://doi.org/10.22331/q-2021-12-02-596 |
| ids.doi | https://doi.org/10.48550/arxiv.1907.08157 |
| ids.mag | 2960357851 |
| ids.openalex | https://openalex.org/W2960357851 |
| fwci | 0.42331073 |
| type | preprint |
| title | A diagrammatic approach to variational quantum ansatz construction |
| biblio.issue | |
| biblio.volume | 5 |
| biblio.last_page | 596 |
| biblio.first_page | 596 |
| topics[0].id | https://openalex.org/T10682 |
| topics[0].field.id | https://openalex.org/fields/17 |
| topics[0].field.display_name | Computer Science |
| topics[0].score | 0.9998999834060669 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/1702 |
| topics[0].subfield.display_name | Artificial Intelligence |
| topics[0].display_name | Quantum Computing Algorithms and Architecture |
| topics[1].id | https://openalex.org/T10382 |
| topics[1].field.id | https://openalex.org/fields/31 |
| topics[1].field.display_name | Physics and Astronomy |
| topics[1].score | 0.9941999912261963 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/3107 |
| topics[1].subfield.display_name | Atomic and Molecular Physics, and Optics |
| topics[1].display_name | Quantum and electron transport phenomena |
| topics[2].id | https://openalex.org/T11181 |
| topics[2].field.id | https://openalex.org/fields/17 |
| topics[2].field.display_name | Computer Science |
| topics[2].score | 0.9894999861717224 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/1705 |
| topics[2].subfield.display_name | Computer Networks and Communications |
| topics[2].display_name | Advanced Data Storage Technologies |
| is_xpac | False |
| apc_list.value | 200 |
| apc_list.currency | EUR |
| apc_list.value_usd | 215 |
| apc_paid.value | 200 |
| apc_paid.currency | EUR |
| apc_paid.value_usd | 215 |
| concepts[0].id | https://openalex.org/C130979935 |
| concepts[0].level | 2 |
| concepts[0].score | 0.871482253074646 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q568954 |
| concepts[0].display_name | Ansatz |
| concepts[1].id | https://openalex.org/C62799726 |
| concepts[1].level | 2 |
| concepts[1].score | 0.5683572888374329 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q190056 |
| concepts[1].display_name | Hilbert space |
| concepts[2].id | https://openalex.org/C84114770 |
| concepts[2].level | 2 |
| concepts[2].score | 0.5436616539955139 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q46344 |
| concepts[2].display_name | Quantum |
| concepts[3].id | https://openalex.org/C51329190 |
| concepts[3].level | 2 |
| concepts[3].score | 0.4547717571258545 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q1076349 |
| concepts[3].display_name | Ising model |
| concepts[4].id | https://openalex.org/C41008148 |
| concepts[4].level | 0 |
| concepts[4].score | 0.45125943422317505 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q21198 |
| concepts[4].display_name | Computer science |
| concepts[5].id | https://openalex.org/C121864883 |
| concepts[5].level | 1 |
| concepts[5].score | 0.44685015082359314 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q677916 |
| concepts[5].display_name | Statistical physics |
| concepts[6].id | https://openalex.org/C58053490 |
| concepts[6].level | 3 |
| concepts[6].score | 0.4453507363796234 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q176555 |
| concepts[6].display_name | Quantum computer |
| concepts[7].id | https://openalex.org/C69523127 |
| concepts[7].level | 2 |
| concepts[7].score | 0.44252029061317444 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q4480008 |
| concepts[7].display_name | Ground state |
| concepts[8].id | https://openalex.org/C161166931 |
| concepts[8].level | 4 |
| concepts[8].score | 0.4164009988307953 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q7269096 |
| concepts[8].display_name | Quantum simulator |
| concepts[9].id | https://openalex.org/C121332964 |
| concepts[9].level | 0 |
| concepts[9].score | 0.3325904309749603 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q413 |
| concepts[9].display_name | Physics |
| concepts[10].id | https://openalex.org/C62520636 |
| concepts[10].level | 1 |
| concepts[10].score | 0.316627562046051 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q944 |
| concepts[10].display_name | Quantum mechanics |
| keywords[0].id | https://openalex.org/keywords/ansatz |
| keywords[0].score | 0.871482253074646 |
| keywords[0].display_name | Ansatz |
| keywords[1].id | https://openalex.org/keywords/hilbert-space |
| keywords[1].score | 0.5683572888374329 |
| keywords[1].display_name | Hilbert space |
| keywords[2].id | https://openalex.org/keywords/quantum |
| keywords[2].score | 0.5436616539955139 |
| keywords[2].display_name | Quantum |
| keywords[3].id | https://openalex.org/keywords/ising-model |
| keywords[3].score | 0.4547717571258545 |
| keywords[3].display_name | Ising model |
| keywords[4].id | https://openalex.org/keywords/computer-science |
| keywords[4].score | 0.45125943422317505 |
| keywords[4].display_name | Computer science |
| keywords[5].id | https://openalex.org/keywords/statistical-physics |
| keywords[5].score | 0.44685015082359314 |
| keywords[5].display_name | Statistical physics |
| keywords[6].id | https://openalex.org/keywords/quantum-computer |
| keywords[6].score | 0.4453507363796234 |
| keywords[6].display_name | Quantum computer |
| keywords[7].id | https://openalex.org/keywords/ground-state |
| keywords[7].score | 0.44252029061317444 |
| keywords[7].display_name | Ground state |
| keywords[8].id | https://openalex.org/keywords/quantum-simulator |
| keywords[8].score | 0.4164009988307953 |
| keywords[8].display_name | Quantum simulator |
| keywords[9].id | https://openalex.org/keywords/physics |
| keywords[9].score | 0.3325904309749603 |
| keywords[9].display_name | Physics |
| keywords[10].id | https://openalex.org/keywords/quantum-mechanics |
| keywords[10].score | 0.316627562046051 |
| keywords[10].display_name | Quantum mechanics |
| language | en |
| locations[0].id | doi:10.22331/q-2021-12-02-596 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4210226432 |
| locations[0].source.issn | 2521-327X |
| locations[0].source.type | journal |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | 2521-327X |
| locations[0].source.is_core | True |
| locations[0].source.is_in_doaj | True |
| locations[0].source.display_name | Quantum |
| locations[0].source.host_organization | https://openalex.org/P4310317900 |
| locations[0].source.host_organization_name | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| locations[0].source.host_organization_lineage | https://openalex.org/P4310317900 |
| locations[0].license | cc-by |
| locations[0].pdf_url | https://quantum-journal.org/papers/q-2021-12-02-596/pdf/ |
| locations[0].version | publishedVersion |
| locations[0].raw_type | journal-article |
| locations[0].license_id | https://openalex.org/licenses/cc-by |
| locations[0].is_accepted | True |
| locations[0].is_published | True |
| locations[0].raw_source_name | Quantum |
| locations[0].landing_page_url | https://doi.org/10.22331/q-2021-12-02-596 |
| locations[1].id | pmh:oai:arXiv.org:1907.08157 |
| locations[1].is_oa | True |
| locations[1].source.id | https://openalex.org/S4306400194 |
| locations[1].source.issn | |
| locations[1].source.type | repository |
| locations[1].source.is_oa | True |
| locations[1].source.issn_l | |
| locations[1].source.is_core | False |
| locations[1].source.is_in_doaj | False |
| locations[1].source.display_name | arXiv (Cornell University) |
| locations[1].source.host_organization | https://openalex.org/I205783295 |
| locations[1].source.host_organization_name | Cornell University |
| locations[1].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[1].license | |
| locations[1].pdf_url | https://arxiv.org/pdf/1907.08157 |
| locations[1].version | submittedVersion |
| locations[1].raw_type | text |
| locations[1].license_id | |
| locations[1].is_accepted | False |
| locations[1].is_published | False |
| locations[1].raw_source_name | |
| locations[1].landing_page_url | http://arxiv.org/abs/1907.08157 |
| locations[2].id | mag:2960357851 |
| locations[2].is_oa | True |
| locations[2].source.id | https://openalex.org/S4306400194 |
| locations[2].source.issn | |
| locations[2].source.type | repository |
| locations[2].source.is_oa | True |
| locations[2].source.issn_l | |
| locations[2].source.is_core | False |
| locations[2].source.is_in_doaj | False |
| locations[2].source.display_name | arXiv (Cornell University) |
| locations[2].source.host_organization | https://openalex.org/I205783295 |
| locations[2].source.host_organization_name | Cornell University |
| locations[2].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[2].license | |
| locations[2].pdf_url | |
| locations[2].version | submittedVersion |
| locations[2].raw_type | |
| locations[2].license_id | |
| locations[2].is_accepted | False |
| locations[2].is_published | False |
| locations[2].raw_source_name | arXiv (Cornell University) |
| locations[2].landing_page_url | https://arxiv.org/pdf/1907.08157.pdf |
| locations[3].id | pmh:oai:doaj.org/article:409ee4310ddb466688e234218ee5069a |
| locations[3].is_oa | True |
| locations[3].source.id | https://openalex.org/S4306401280 |
| locations[3].source.issn | |
| locations[3].source.type | repository |
| locations[3].source.is_oa | False |
| locations[3].source.issn_l | |
| locations[3].source.is_core | False |
| locations[3].source.is_in_doaj | False |
| locations[3].source.display_name | DOAJ (DOAJ: Directory of Open Access Journals) |
| locations[3].source.host_organization | |
| locations[3].source.host_organization_name | |
| locations[3].source.host_organization_lineage | |
| locations[3].license | cc-by-sa |
| locations[3].pdf_url | |
| locations[3].version | submittedVersion |
| locations[3].raw_type | article |
| locations[3].license_id | https://openalex.org/licenses/cc-by-sa |
| locations[3].is_accepted | False |
| locations[3].is_published | False |
| locations[3].raw_source_name | Quantum, Vol 5, p 596 (2021) |
| locations[3].landing_page_url | https://doaj.org/article/409ee4310ddb466688e234218ee5069a |
| locations[4].id | doi:10.48550/arxiv.1907.08157 |
| locations[4].is_oa | True |
| locations[4].source.id | https://openalex.org/S4306400194 |
| locations[4].source.issn | |
| locations[4].source.type | repository |
| locations[4].source.is_oa | True |
| locations[4].source.issn_l | |
| locations[4].source.is_core | False |
| locations[4].source.is_in_doaj | False |
| locations[4].source.display_name | arXiv (Cornell University) |
| locations[4].source.host_organization | https://openalex.org/I205783295 |
| locations[4].source.host_organization_name | Cornell University |
| locations[4].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[4].license | cc-by |
| locations[4].pdf_url | |
| locations[4].version | |
| locations[4].raw_type | article-journal |
| locations[4].license_id | https://openalex.org/licenses/cc-by |
| locations[4].is_accepted | False |
| locations[4].is_published | |
| locations[4].raw_source_name | |
| locations[4].landing_page_url | https://doi.org/10.48550/arxiv.1907.08157 |
| indexed_in | arxiv, crossref, datacite, doaj |
| authorships[0].author.id | https://openalex.org/A5024530812 |
| authorships[0].author.orcid | https://orcid.org/0000-0003-0640-7429 |
| authorships[0].author.display_name | Yaroslav Herasymenko |
| authorships[0].countries | NL |
| authorships[0].affiliations[0].institution_ids | https://openalex.org/I121797337 |
| authorships[0].affiliations[0].raw_affiliation_string | Instituut-Lorentz, Universiteit Leiden, P. O. Box 9506 2300 RA Leiden, The Netherlands |
| authorships[0].institutions[0].id | https://openalex.org/I121797337 |
| authorships[0].institutions[0].ror | https://ror.org/027bh9e22 |
| authorships[0].institutions[0].type | education |
| authorships[0].institutions[0].lineage | https://openalex.org/I121797337 |
| authorships[0].institutions[0].country_code | NL |
| authorships[0].institutions[0].display_name | Leiden University |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Y. Herasymenko |
| authorships[0].is_corresponding | False |
| authorships[0].raw_affiliation_strings | Instituut-Lorentz, Universiteit Leiden, P. O. Box 9506 2300 RA Leiden, The Netherlands |
| authorships[1].author.id | https://openalex.org/A5010871812 |
| authorships[1].author.orcid | https://orcid.org/0000-0002-8406-6626 |
| authorships[1].author.display_name | Thomas E. O’Brien |
| authorships[1].countries | NL |
| authorships[1].affiliations[0].institution_ids | https://openalex.org/I121797337 |
| authorships[1].affiliations[0].raw_affiliation_string | Instituut-Lorentz, Universiteit Leiden, P. O. Box 9506 2300 RA Leiden, The Netherlands |
| authorships[1].institutions[0].id | https://openalex.org/I121797337 |
| authorships[1].institutions[0].ror | https://ror.org/027bh9e22 |
| authorships[1].institutions[0].type | education |
| authorships[1].institutions[0].lineage | https://openalex.org/I121797337 |
| authorships[1].institutions[0].country_code | NL |
| authorships[1].institutions[0].display_name | Leiden University |
| authorships[1].author_position | last |
| authorships[1].raw_author_name | T.E. O'Brien |
| authorships[1].is_corresponding | False |
| authorships[1].raw_affiliation_strings | Instituut-Lorentz, Universiteit Leiden, P. O. Box 9506 2300 RA Leiden, The Netherlands |
| has_content.pdf | True |
| has_content.grobid_xml | True |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://quantum-journal.org/papers/q-2021-12-02-596/pdf/ |
| open_access.oa_status | gold |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | A diagrammatic approach to variational quantum ansatz construction |
| has_fulltext | True |
| is_retracted | False |
| updated_date | 2025-11-06T03:46:38.306776 |
| primary_topic.id | https://openalex.org/T10682 |
| primary_topic.field.id | https://openalex.org/fields/17 |
| primary_topic.field.display_name | Computer Science |
| primary_topic.score | 0.9998999834060669 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/1702 |
| primary_topic.subfield.display_name | Artificial Intelligence |
| primary_topic.display_name | Quantum Computing Algorithms and Architecture |
| related_works | https://openalex.org/W2257937122, https://openalex.org/W3103810096, https://openalex.org/W2963239445, https://openalex.org/W2161685427, https://openalex.org/W2980075761, https://openalex.org/W3105532889, https://openalex.org/W2972223037, https://openalex.org/W2810721533, https://openalex.org/W2803208764, https://openalex.org/W2781738013, https://openalex.org/W2755255888, https://openalex.org/W1504770578, https://openalex.org/W3037989959, https://openalex.org/W3047180424, https://openalex.org/W3187303987, https://openalex.org/W3104963420, https://openalex.org/W3163792723, https://openalex.org/W2798201525, https://openalex.org/W2138441913, https://openalex.org/W3103720553 |
| cited_by_count | 6 |
| counts_by_year[0].year | 2021 |
| counts_by_year[0].cited_by_count | 3 |
| counts_by_year[1].year | 2020 |
| counts_by_year[1].cited_by_count | 2 |
| counts_by_year[2].year | 2019 |
| counts_by_year[2].cited_by_count | 1 |
| locations_count | 5 |
| best_oa_location.id | doi:10.22331/q-2021-12-02-596 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4210226432 |
| best_oa_location.source.issn | 2521-327X |
| best_oa_location.source.type | journal |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | 2521-327X |
| best_oa_location.source.is_core | True |
| best_oa_location.source.is_in_doaj | True |
| best_oa_location.source.display_name | Quantum |
| best_oa_location.source.host_organization | https://openalex.org/P4310317900 |
| best_oa_location.source.host_organization_name | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| best_oa_location.source.host_organization_lineage | https://openalex.org/P4310317900 |
| best_oa_location.license | cc-by |
| best_oa_location.pdf_url | https://quantum-journal.org/papers/q-2021-12-02-596/pdf/ |
| best_oa_location.version | publishedVersion |
| best_oa_location.raw_type | journal-article |
| best_oa_location.license_id | https://openalex.org/licenses/cc-by |
| best_oa_location.is_accepted | True |
| best_oa_location.is_published | True |
| best_oa_location.raw_source_name | Quantum |
| best_oa_location.landing_page_url | https://doi.org/10.22331/q-2021-12-02-596 |
| primary_location.id | doi:10.22331/q-2021-12-02-596 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4210226432 |
| primary_location.source.issn | 2521-327X |
| primary_location.source.type | journal |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | 2521-327X |
| primary_location.source.is_core | True |
| primary_location.source.is_in_doaj | True |
| primary_location.source.display_name | Quantum |
| primary_location.source.host_organization | https://openalex.org/P4310317900 |
| primary_location.source.host_organization_name | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| primary_location.source.host_organization_lineage | https://openalex.org/P4310317900 |
| primary_location.license | cc-by |
| primary_location.pdf_url | https://quantum-journal.org/papers/q-2021-12-02-596/pdf/ |
| primary_location.version | publishedVersion |
| primary_location.raw_type | journal-article |
| primary_location.license_id | https://openalex.org/licenses/cc-by |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | Quantum |
| primary_location.landing_page_url | https://doi.org/10.22331/q-2021-12-02-596 |
| publication_date | 2021-12-02 |
| publication_year | 2021 |
| referenced_works | https://openalex.org/W2781738013, https://openalex.org/W2945632438, https://openalex.org/W2161685427, https://openalex.org/W2257937122, https://openalex.org/W2963239445, https://openalex.org/W2794444783, https://openalex.org/W2965705540, https://openalex.org/W6678261470, https://openalex.org/W6631188861, https://openalex.org/W2077261815, https://openalex.org/W1997126380, https://openalex.org/W2015711858, https://openalex.org/W2103373613, https://openalex.org/W2755255888, https://openalex.org/W2966171903, https://openalex.org/W2803208764, https://openalex.org/W2810721533, https://openalex.org/W2924355162, https://openalex.org/W2942327165, https://openalex.org/W2023734578, https://openalex.org/W2156140340, https://openalex.org/W2254754114, https://openalex.org/W1839785972, https://openalex.org/W3100594946, https://openalex.org/W3100148174, https://openalex.org/W3102952863, https://openalex.org/W3097594544 |
| referenced_works_count | 27 |
| abstract_inverted_index.a | 5, 86, 107, 152, 163, 168, 183 |
| abstract_inverted_index.In | 81 |
| abstract_inverted_index.On | 58 |
| abstract_inverted_index.We | 103, 125, 161, 178 |
| abstract_inverted_index.an | 25, 132 |
| abstract_inverted_index.as | 148 |
| abstract_inverted_index.be | 52 |
| abstract_inverted_index.by | 105, 136, 145 |
| abstract_inverted_index.in | 16, 23, 55, 194 |
| abstract_inverted_index.is | 41, 95 |
| abstract_inverted_index.of | 8, 109, 122, 140, 154, 175, 201 |
| abstract_inverted_index.on | 101, 182 |
| abstract_inverted_index.or | 144 |
| abstract_inverted_index.to | 51, 78, 190 |
| abstract_inverted_index.we | 84 |
| abstract_inverted_index.One | 38 |
| abstract_inverted_index.VQE | 92 |
| abstract_inverted_index.and | 76, 166, 197 |
| abstract_inverted_index.are | 4, 50 |
| abstract_inverted_index.but | 97, 157 |
| abstract_inverted_index.for | 11, 89, 151 |
| abstract_inverted_index.how | 128 |
| abstract_inverted_index.may | 130 |
| abstract_inverted_index.not | 99 |
| abstract_inverted_index.one | 129 |
| abstract_inverted_index.our | 180 |
| abstract_inverted_index.the | 21, 35, 45, 56, 63, 79, 90, 114, 119, 141, 173, 191, 195, 198, 202 |
| abstract_inverted_index.via | 69 |
| abstract_inverted_index.does | 98 |
| abstract_inverted_index.free | 123 |
| abstract_inverted_index.good | 188 |
| abstract_inverted_index.long | 156 |
| abstract_inverted_index.rely | 100 |
| abstract_inverted_index.spin | 185 |
| abstract_inverted_index.such | 24, 39 |
| abstract_inverted_index.test | 179 |
| abstract_inverted_index.that | 33, 44, 112, 171 |
| abstract_inverted_index.them | 147 |
| abstract_inverted_index.then | 126 |
| abstract_inverted_index.this | 82 |
| abstract_inverted_index.with | 118 |
| abstract_inverted_index.Ising | 204 |
| abstract_inverted_index.These | 72 |
| abstract_inverted_index.apply | 162 |
| abstract_inverted_index.class | 7 |
| abstract_inverted_index.costs | 75 |
| abstract_inverted_index.error | 22 |
| abstract_inverted_index.phase | 200 |
| abstract_inverted_index.short | 184 |
| abstract_inverted_index.space | 117 |
| abstract_inverted_index.start | 104 |
| abstract_inverted_index.state | 47, 193 |
| abstract_inverted_index.using | 30, 146 |
| abstract_inverted_index.which | 94 |
| abstract_inverted_index.work, | 83 |
| abstract_inverted_index.(VQEs) | 3 |
| abstract_inverted_index.chain, | 186 |
| abstract_inverted_index.entire | 115 |
| abstract_inverted_index.errors | 77 |
| abstract_inverted_index.family | 108 |
| abstract_inverted_index.ground | 14, 46, 192 |
| abstract_inverted_index.model. | 205 |
| abstract_inverted_index.number | 121 |
| abstract_inverted_index.parent | 149 |
| abstract_inverted_index.scheme | 88 |
| abstract_inverted_index.states | 15 |
| abstract_inverted_index.target | 34, 142 |
| abstract_inverted_index.Hilbert | 116 |
| abstract_inverted_index.ansatz, | 135 |
| abstract_inverted_index.ansatz. | 57 |
| abstract_inverted_index.develop | 167 |
| abstract_inverted_index.digital | 59, 91, 110, 134 |
| abstract_inverted_index.ensures | 172 |
| abstract_inverted_index.explore | 113 |
| abstract_inverted_index.finding | 187 |
| abstract_inverted_index.meaning | 43 |
| abstract_inverted_index.methods | 181 |
| abstract_inverted_index.minimum | 120 |
| abstract_inverted_index.present | 85 |
| abstract_inverted_index.quantum | 1, 9, 18, 48, 60 |
| abstract_inverted_index.require | 67 |
| abstract_inverted_index.studied | 36 |
| abstract_inverted_index.system, | 143 |
| abstract_inverted_index.system. | 37 |
| abstract_inverted_index.usually | 66 |
| abstract_inverted_index.accurate | 159 |
| abstract_inverted_index.analysis | 165 |
| abstract_inverted_index.ansatzes | 29, 65, 111, 150 |
| abstract_inverted_index.compress | 131 |
| abstract_inverted_index.devices. | 19 |
| abstract_inverted_index.however, | 62 |
| abstract_inverted_index.methods. | 71 |
| abstract_inverted_index.physical | 31 |
| abstract_inverted_index.requires | 27 |
| abstract_inverted_index.symmetry | 138 |
| abstract_inverted_index.ansatzes, | 93 |
| abstract_inverted_index.arbitrary | 133 |
| abstract_inverted_index.compactly | 53 |
| abstract_inverted_index.designing | 28, 106 |
| abstract_inverted_index.enforcing | 137 |
| abstract_inverted_index.expansion | 68 |
| abstract_inverted_index.formalism | 170 |
| abstract_inverted_index.generated | 176 |
| abstract_inverted_index.hierarchy | 153 |
| abstract_inverted_index.introduce | 73 |
| abstract_inverted_index.near-term | 17 |
| abstract_inverted_index.preparing | 12 |
| abstract_inverted_index.promising | 6 |
| abstract_inverted_index.Minimizing | 20 |
| abstract_inverted_index.additional | 74 |
| abstract_inverted_index.algorithms | 10 |
| abstract_inverted_index.computers, | 61 |
| abstract_inverted_index.Variational | 0 |
| abstract_inverted_index.approximate | 13 |
| abstract_inverted_index.constraints | 139 |
| abstract_inverted_index.convergence | 189 |
| abstract_inverted_index.demonstrate | 127 |
| abstract_inverted_index.parameters. | 124 |
| abstract_inverted_index.represented | 54 |
| abstract_inverted_index.correlations | 49 |
| abstract_inverted_index.diagrammatic | 87, 169 |
| abstract_inverted_index.eigensolvers | 2 |
| abstract_inverted_index.hierarchies. | 177 |
| abstract_inverted_index.increasingly | 155, 158 |
| abstract_inverted_index.paramagnetic | 196 |
| abstract_inverted_index.perturbative | 164 |
| abstract_inverted_index.approximation | 26 |
| abstract_inverted_index.consideration | 40 |
| abstract_inverted_index.ferromagnetic | 199 |
| abstract_inverted_index.sub-ansatzes. | 160 |
| abstract_inverted_index.Trotter-Suzuki | 70 |
| abstract_inverted_index.approximation. | 80 |
| abstract_inverted_index.considerations | 32 |
| abstract_inverted_index.size-extensive | 64, 96 |
| abstract_inverted_index.Trotterization. | 102 |
| abstract_inverted_index.size-extensivity | 174 |
| abstract_inverted_index.transverse-field | 203 |
| abstract_inverted_index.size-extensivity, | 42 |
| cited_by_percentile_year.max | 97 |
| cited_by_percentile_year.min | 90 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile.value | 0.67001081 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |